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Finding the Third Proportional to 55,009 and 85,801

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Solution

The third proportional to 55,009 and 85,801 is: 133,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009 : 85,801 = 85,801 : x
  2. Step 2: Convert to fraction form
    55,009/85,801 = 85,801/x
  3. Step 3: Cross multiply
    55,009x = 85,801 × 85,801
  4. Step 4: Simplify right side
    55,009x = 7,361,811,601
  5. Step 5: Solve for x
    x = 7,361,811,601/55,009
  6. Step 6: Final answer
    x = 133,829.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.